Perform the Operation Indicated A) $\frac { ( 7 x - 3 y ) } { ( 4 x + 5 y ) }$

question 36

Multiple Choice

Perform the operation indicated.
- $$\frac { 14 x ^ { 2 } - 23 x y - 30 y ^ { 2 } } { 49 x ^ { 2 } + 63 x y + 18 y ^ { 2 } } + \frac { 10 x ^ { 2 } - 37 x y + 30 y ^ { 2 } } { 20 x ^ { 2 } - 49 x y + 30 y ^ { 2 } }$$

• A) \(\frac { ( 7 x - 3 y ) } { ( 4 x + 5 y ) }\)
• B) \(\frac { ( 2 x + 5 y ) ^ { 2 } } { ( 4 x + 5 y ) ( 7 x - 3 y ) }\)
• C) \(\frac { 4 x - 5 y } { 7 x + 3 y }\)
• D) \(\frac { ( 2 x - 5 y ) ^ { 2 } } { ( 4 x - 5 y ) ( 7 x + 3 y ) }\)

---

Definitions:

Ultrafine Suspended Particles

Microscopic particles suspended in the air, which can pose serious health and environmental risks.

Penetrate

To enter or pass through something, often by overcoming resistance.

Lungs' Natural Defences

Mechanisms within the respiratory system that protect the lungs from infection and pollution, including mucous production and cilia action.

World Health Organization

An international public health agency of the United Nations dedicated to improving health conditions and achieving the highest level of health for all people worldwide.